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Finding the Fourth Proportional to 522.87, 721.89 and 348.72

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Solution

The fourth proportional to 522.87, 721.89 and 348.72 is: 481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.87 : 721.89 = 348.72 : x
  2. Step 2: Convert to fraction form
    522.87/721.89 = 348.72/x
  3. Step 3: Cross multiply
    522.87x = 721.89 × 348.72
  4. Step 4: Simplify right side
    522.87x = 251,737.48
  5. Step 5: Solve for x
    x = 251,737.48/522.87
  6. Step 6: Final answer
    x = 481.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.